fix(kernel): bugs in justification module, add missing metavar methods, add basic metavar tests

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
This commit is contained in:
Leonardo de Moura 2014-02-22 16:12:06 -08:00
parent 4c30ea9251
commit bf13441bd7
7 changed files with 188 additions and 77 deletions

View file

@ -65,6 +65,7 @@ protected:
lean_unreachable(); // LCOV_EXCL_LINE
case expr_kind::Meta: case expr_kind::Local:
result = apply(mlocal_type(e), offset);
break;
case expr_kind::App:
result = apply(app_fn(e), offset) || apply(app_arg(e), offset);
break;
@ -142,6 +143,7 @@ class free_var_range_fn {
lean_unreachable(); // LCOV_EXCL_LINE
case expr_kind::Meta: case expr_kind::Local:
result = apply(mlocal_type(e));
break;
case expr_kind::App:
result = std::max(apply(app_fn(e)), apply(app_arg(e)));
break;
@ -237,6 +239,7 @@ protected:
lean_unreachable(); // LCOV_EXCL_LINE
case expr_kind::Meta: case expr_kind::Local:
result = apply(mlocal_type(e), offset);
break;
case expr_kind::App:
result = apply(app_fn(e), offset) || apply(app_arg(e), offset);
break;

View file

@ -154,7 +154,7 @@ justification const & composite_child1(justification const & j) {
justification const & composite_child2(justification const & j) {
lean_assert(j.is_composite());
return to_composite(j.raw())->m_child[0];
return to_composite(j.raw())->m_child[1];
}
unsigned assumption_idx(justification const & j) {
@ -242,4 +242,19 @@ justification mk_justification(pp_jst_sfn const & fn, optional<expr> const & s)
return compose(to_pos(s, p), fn(fmt, opts, subst));
}, s);
}
std::ostream & operator<<(std::ostream & out, justification const & j) {
if (j.is_none()) {
out << "none";
} else if (j.is_asserted()) {
out << "asserted";
} else if (j.is_assumption()) {
out << "(assumption " << assumption_idx(j) << ")";
} else if (j.is_composite()) {
out << "(join " << composite_child1(j) << " " << composite_child2(j) << ")";
} else {
out << "unexpected";
}
return out;
}
}

View file

@ -132,4 +132,7 @@ unsigned assumption_idx(justification const & j);
/** \brief Return true iff \c j depends on the assumption with index \c i. */
bool depends_on(justification const & j, unsigned i);
/** \brief Printer for debugging purposes */
std::ostream & operator<<(std::ostream & out, justification const & j);
}

View file

@ -10,6 +10,7 @@ Author: Leonardo de Moura
#include "kernel/replace_visitor.h"
#include "kernel/justification.h"
#include "kernel/instantiate.h"
#include "kernel/find_fn.h"
namespace lean {
bool substitution::is_assigned(name const & m) const {
@ -41,7 +42,7 @@ void substitution::assign(name const & m, expr const & t) {
assign(m, t, justification());
}
void substitution::for_each(std::function<void(name const & n, expr const & e, justification const & j)> const & fn) {
void substitution::for_each(std::function<void(name const & n, expr const & e, justification const & j)> const & fn) const {
m_subst.for_each([=](name const & n, std::pair<expr, justification> const & a) {
fn(n, a.first, a.second);
});
@ -66,23 +67,23 @@ protected:
return p1->first;
} else if (m_use_jst) {
if (m_update) {
auto p2 = d_instantiate_metavars(p1->first, m_subst);
auto p2 = m_subst.d_instantiate_metavars(p1->first);
justification new_jst = mk_composite1(p1->second, p2.second);
m_subst.assign(m_name, p2.first, new_jst);
save_jst(new_jst);
return p2.first;
} else {
auto p2 = instantiate_metavars(p1->first, m_subst);
auto p2 = m_subst.instantiate_metavars(p1->first);
save_jst(mk_composite1(p1->second, p2.second));
return p2.first;
}
} else {
if (m_update) {
expr r = d_instantiate_metavars_wo_jst(p1->first, m_subst);
expr r = m_subst.d_instantiate_metavars_wo_jst(p1->first);
m_subst.assign(m_name, r);
return r;
} else {
return instantiate_metavars_wo_jst(p1->first, m_subst);
return m_subst.instantiate_metavars_wo_jst(p1->first);
}
}
} else {
@ -113,23 +114,39 @@ public:
justification const & get_justification() const { return m_jst; }
};
std::pair<expr, justification> instantiate_metavars(expr const & e, substitution const & s) {
instantiate_metavars_fn fn(const_cast<substitution&>(s), true, false);
std::pair<expr, justification> substitution::instantiate_metavars(expr const & e) const {
instantiate_metavars_fn fn(const_cast<substitution&>(*this), true, false);
expr r = fn(e);
return mk_pair(r, fn.get_justification());
}
std::pair<expr, justification> d_instantiate_metavars(expr const & e, substitution & s) {
instantiate_metavars_fn fn(s, true, true);
std::pair<expr, justification> substitution::d_instantiate_metavars(expr const & e) {
instantiate_metavars_fn fn(*this, true, true);
expr r = fn(e);
return mk_pair(r, fn.get_justification());
}
expr instantiate_metavars_wo_jst(expr const & e, substitution const & s) {
return instantiate_metavars_fn(const_cast<substitution&>(s), false, false)(e);
expr substitution::instantiate_metavars_wo_jst(expr const & e) const {
return instantiate_metavars_fn(const_cast<substitution&>(*this), false, false)(e);
}
expr d_instantiate_metavars_wo_jst(expr const & e, substitution & s) {
return instantiate_metavars_fn(s, false, true)(e);
expr substitution::d_instantiate_metavars_wo_jst(expr const & e) {
return instantiate_metavars_fn(*this, false, true)(e);
}
bool substitution::occurs(name const & m, expr const & e) const {
if (!has_metavar(e))
return false;
auto it = find(e, [&](expr const & e, unsigned) {
if (is_metavar(e)) {
if (mlocal_name(e) == m)
return true;
auto s = get_expr(e);
return s && occurs(m, *s);
} else {
return false;
}
});
return static_cast<bool>(it);
}
}

View file

@ -15,27 +15,42 @@ namespace lean {
class substitution {
rb_map<name, std::pair<expr, justification>, name_quick_cmp> m_subst;
public:
typedef optional<std::pair<expr, justification>> opt_expr_jst;
bool is_assigned(name const & m) const;
optional<std::pair<expr, justification>> get_assignment(name const & m) const;
opt_expr_jst get_assignment(name const & m) const;
optional<expr> get_expr(name const & m) const;
void assign(name const & m, expr const & t, justification const & j);
void assign(name const & m, expr const & t);
void for_each(std::function<void(name const & n, expr const & e, justification const & j)> const & fn);
};
/**
\brief Instantiate metavariables in \c e assigned in the substitution \c s.
*/
std::pair<expr, justification> instantiate_metavars(expr const & e, substitution const & s);
void for_each(std::function<void(name const & n, expr const & e, justification const & j)> const & fn) const;
bool is_assigned(expr const & m) const { lean_assert(is_metavar(m)); return is_assigned(mlocal_name(m)); }
opt_expr_jst get_assignment(expr const & m) const { lean_assert(is_metavar(m)); return get_assignment(mlocal_name(m)); }
optional<expr> get_expr(expr const & m) const { lean_assert(is_metavar(m)); return get_expr(mlocal_name(m)); }
void assign(expr const & m, expr const & t, justification const & j) { lean_assert(is_metavar(m)); assign(mlocal_name(m), t, j); }
void assign(expr const & m, expr const & t) { lean_assert(is_metavar(m)); return assign(mlocal_name(m), t); }
/** \brief Instantiate metavariables in \c e assigned in the substitution \c s. */
std::pair<expr, justification> instantiate_metavars(expr const & e) const;
/**
\brief Similar to the previous function, but it compress the substitution.
By compress, we mean, for any metavariable \c m reachable from \c e,
if s[m] = t, and t has asssigned metavariables, then s[m] <- instantiate_metavars(t, s).
*/
std::pair<expr, justification> d_instantiate_metavars(expr const & e, substitution & s);
std::pair<expr, justification> d_instantiate_metavars(expr const & e);
/**
\brief Instantiate metavariables in \c e assigned in the substitution \c s,
but does not return a justification object for the new expression.
*/
expr instantiate_metavars_wo_jst(expr const & e, substitution const & s);
expr d_instantiate_metavars_wo_jst(expr const & e, substitution & s);
expr instantiate_metavars_wo_jst(expr const & e) const;
expr d_instantiate_metavars_wo_jst(expr const & e);
/**
\brief Return true iff \c m occurrs (directly or indirectly) in \c e.
*/
bool occurs(name const & m, expr const & e) const;
bool occurs(expr const & m, expr const & e) const { lean_assert(is_metavar(m)); return occurs(mlocal_name(m), e); }
};
}

View file

@ -10,7 +10,6 @@ add_test(expr ${CMAKE_CURRENT_BINARY_DIR}/expr)
add_executable(normalizer normalizer.cpp)
target_link_libraries(normalizer ${EXTRA_LIBS})
add_test(normalizer ${CMAKE_CURRENT_BINARY_DIR}/normalizer)
# set_tests_properties(normalizer PROPERTIES ENVIRONMENT "LEAN_PATH=${LEAN_BINARY_DIR}/shell")
# add_executable(threads threads.cpp)
# target_link_libraries(threads ${EXTRA_LIBS})
# add_test(threads ${CMAKE_CURRENT_BINARY_DIR}/threads)
@ -32,9 +31,9 @@ add_test(replace ${CMAKE_CURRENT_BINARY_DIR}/replace)
add_executable(occurs occurs.cpp)
target_link_libraries(occurs ${EXTRA_LIBS})
add_test(occurs ${CMAKE_CURRENT_BINARY_DIR}/occurs)
# add_executable(metavar metavar.cpp)
# target_link_libraries(metavar ${EXTRA_LIBS})
# add_test(metavar ${CMAKE_CURRENT_BINARY_DIR}/metavar)
add_executable(metavar metavar.cpp)
target_link_libraries(metavar ${EXTRA_LIBS})
add_test(metavar ${CMAKE_CURRENT_BINARY_DIR}/metavar)
# set_tests_properties(metavar PROPERTIES ENVIRONMENT "LEAN_PATH=${LEAN_BINARY_DIR}/shell")
add_executable(instantiate instantiate.cpp)
target_link_libraries(instantiate ${EXTRA_LIBS})

View file

@ -1,5 +1,5 @@
/*
Copyright (c) 2013 Microsoft Corporation. All rights reserved.
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
@ -8,65 +8,122 @@ Author: Leonardo de Moura
#include <algorithm>
#include <vector>
#include <utility>
#include <set>
#include "util/test.h"
#include "util/buffer.h"
#include "kernel/metavar.h"
#include "kernel/instantiate.h"
#include "kernel/abstract.h"
#include "kernel/free_vars.h"
#include "kernel/normalizer.h"
#include "kernel/environment.h"
#include "kernel/type_checker.h"
#include "kernel/kernel_exception.h"
#include "kernel/kernel.h"
#include "kernel/io_state.h"
#include "library/printer.h"
#include "library/io_state_stream.h"
#include "library/placeholder.h"
#include "library/arith/arith.h"
#include "frontends/lean/frontend.h"
#include "frontends/lua/register_modules.h"
// #include "kernel/free_vars.h"
// #include "kernel/normalizer.h"
// #include "kernel/environment.h"
// #include "kernel/type_checker.h"
// #include "kernel/kernel_exception.h"
// #include "kernel/kernel.h"
// #include "kernel/io_state.h"
// #include "library/printer.h"
// #include "library/io_state_stream.h"
// #include "library/placeholder.h"
// #include "library/arith/arith.h"
// #include "frontends/lean/frontend.h"
// #include "frontends/lua/register_modules.h"
using namespace lean;
static std::ostream & operator<<(std::ostream & out, metavar_env const & menv) {
void collect_assumptions(justification const & j, buffer<unsigned> & r) {
std::set<unsigned> already_found;
buffer<justification> todo;
todo.push_back(j);
while (!todo.empty()) {
justification j = todo.back();
todo.pop_back();
if (j.is_assumption()) {
unsigned idx = assumption_idx(j);
if (already_found.find(idx) == already_found.end()) {
already_found.insert(idx);
r.push_back(idx);
}
} else if (j.is_composite()) {
todo.push_back(composite_child1(j));
todo.push_back(composite_child2(j));
}
}
}
void display_assumptions(std::ostream & out, justification const & j) {
buffer<unsigned> ids;
collect_assumptions(j, ids);
for (unsigned i = 0; i < ids.size(); i++) {
if (i > 0) out << " ";
out << ids[i];
}
}
static std::ostream & operator<<(std::ostream & out, substitution const & s) {
bool first = true;
menv->for_each_subst([&](name const & n, expr const & v) {
s.for_each([&](name const & n, expr const & v, justification const & j) {
if (first) first = false; else out << "\n";
out << "?" << n << " <- " << v;
out << "?" << n << " <- " << v << " {";
display_assumptions(out, j);
out << "}";
});
return out;
}
static std::ostream & operator<<(std::ostream & out, buffer<unification_constraint> const & uc) {
formatter fmt = mk_simple_formatter();
for (auto c : uc) {
out << c.pp(fmt, options(), nullptr, true) << "\n";
static bool check_assumptions(justification const & j, std::initializer_list<unsigned> const & ls) {
buffer<unsigned> ids;
collect_assumptions(j, ids);
lean_assert(ids.size() == ls.size());
for (unsigned id : ls) {
lean_assert(std::find(ids.begin(), ids.end(), id) != ids.end());
}
return out;
return true;
}
static void tst1() {
metavar_env menv;
expr m1 = menv->mk_metavar();
lean_assert(!menv->is_assigned(m1));
expr t1 = menv->get_type(m1);
lean_assert(is_metavar(t1));
lean_assert(is_eqp(menv->get_type(m1), t1));
lean_assert(is_eqp(menv->get_type(m1), t1));
lean_assert(!menv->is_assigned(m1));
expr m2 = menv->mk_metavar();
lean_assert(!menv->is_assigned(m1));
expr t2 = menv->get_type(m2);
lean_assert(is_metavar(m2));
lean_assert(!is_eqp(t1, t2));
lean_assert(t1 != t2);
substitution subst;
expr m1 = mk_metavar("m1", Bool);
lean_assert(!subst.is_assigned(m1));
expr m2 = mk_metavar("m2", Bool);
lean_assert(!is_eqp(m1, m2));
lean_assert(m1 != m2);
expr f = Const("f");
expr a = Const("a");
menv->assign(m1, f(a));
lean_assert(menv->is_assigned(m1));
lean_assert(!menv->is_assigned(m2));
lean_assert(*(menv->get_subst(m1)) == f(a));
subst.assign(m1, f(a));
lean_assert(subst.is_assigned(m1));
lean_assert(!subst.is_assigned(m2));
lean_assert(*subst.get_expr(m1) == f(a));
lean_assert(subst.instantiate_metavars(f(m1)).first == f(f(a)));
std::cout << subst << "\n";
}
static void tst2() {
substitution s;
expr m1 = mk_metavar("m1", Bool);
expr m2 = mk_metavar("m2", Bool);
expr m3 = mk_metavar("m3", Bool);
expr f = Const("f");
expr g = Const("g");
expr a = Const("a");
s.assign(m1, f(m2), mk_assumption_justification(1));
s.assign(m2, g(a), mk_assumption_justification(2));
lean_assert(check_assumptions(s.get_assignment(m1)->second, {1}));
lean_assert(s.occurs(m1, f(m1)));
lean_assert(s.occurs(m2, f(m1)));
lean_assert(!s.occurs(m1, f(m2)));
lean_assert(!s.occurs(m1, f(a)));
lean_assert(!s.occurs(m3, f(m1)));
std::cout << s << "\n";
auto p1 = s.instantiate_metavars(g(m1));
check_assumptions(p1.second, {1, 2});
lean_assert(check_assumptions(s.get_assignment(m1)->second, {1}));
lean_assert(p1.first == g(f(g(a))));
auto p2 = s.d_instantiate_metavars(g(m1));
check_assumptions(p2.second, {1, 2});
std::cout << s << "\n";
lean_assert(check_assumptions(s.get_assignment(m1)->second, {1, 2}));
}
#if 0
static void tst2() {
metavar_env menv;
expr f = Const("f");
@ -629,12 +686,13 @@ static void tst28() {
lean_assert(add_lift(m2, 2, 2, menv) == m2);
lean_assert(add_lift(m2, 2, 2, menv) != add_lift(m2, 2, 2));
}
#endif
int main() {
save_stack_info();
register_modules();
tst1();
tst2();
#if 0
tst3();
tst4();
tst5();
@ -661,5 +719,6 @@ int main() {
tst26();
tst27();
tst28();
#endif
return has_violations() ? 1 : 0;
}